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# In this example, the set of natural numbers from 51 to 100 is ?

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- PhilipLv 61 month ago
Define S(n) = sum, k = 1 to n, of k = n(n+1)/2

I think you mean sum, k = 51 to 100, of k. This =

S(100) -S(50) = 100(101)/2 - 50(51)/2 =

50(101) - 25(51) = 5000+50 -(1250+25) =

5050-1275 = 3775.

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- KrishnamurthyLv 71 month ago
The set of natural numbers from 51 to 100:

51, 52, 53, 54, ........, 99, 100.

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- PuzzlingLv 71 month ago
The set of natural numbers is {1, 2, 3, ...}

If you only want the natural numbers in that range (inclusive) would be:{51, 52, 53, ..., 98, 99, 100}

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